JAMES ALLEN’S GIRLS’ SCHOOL 11+ ENTRANCE EXAMINATION SAMPLE PAPER MATHEMATICS by smoothmaths | Jun 19, 2020 | 0 comments Welcome to your JAMES ALLEN’S GIRLS’ SCHOOL 11+ ENTRANCE EXAMINATION SAMPLE PAPER MATHEMATICS Time: 45 Minutes Show all your working in the space for each question. Do not spend too long on any question. If you are finding a question difficult, move on to the next one. Do not worry if you are unable to finish all the questions. NO CALCULATORS ALLOWED USE PENCIL 1. 295 749 + 86 ____113091011109301010 2. 1231 - 744 ________487587597497None of the Above 3. 576 x 8 ________46084668456845084068 4. 3465 ÷ 9385280485380285 5. Natalie buys 3 small bags of peanuts and pays with a £2 coin. She receives 80p change. How much does each bag cost? 40p20p30p15p25p 6. Write down the next two numbers in each of these sequences: a) 30000, 3000, 300, 30,3 & 0.32 & 0.24 & 0.40.3 & 0.03None of the Above b) 3, 6, 12, 24,48 & 96-12 & -626 & 2822 & 2028 & 32 c) 1, 1, 2, 3, 5, 8,13 & 2112 & 1713 & 1814 & 21None of the Above d) 1, 4, 9, 16,25 & 3636 & 4949 & 6425 & 49None of the Above 7. Find three prime numbers that add up to 302, 5, 233,11,177,11,1313,7,11None of the Above 8. Two fifths of the children in a swimming pool are boys. There are 72 girls in the pool. How many boys are there?4824322838 9. The line graph below can be used to change pounds sterling into Norwegian kroner. a) How many kroner would I get for 90p? 16kroner18kroner12kroner14kroner10kroner b) How much are 12 kroner worth?66p70p68p64p62p c) Jo buys some sweets and a magazine that cost £5 . 10. How much is this in kroner?92kroner88kroner90kroner85kronerNone of the Above 10. Gill's garden is 48 m long and 10 m wide and she wants to cover it with peat which comes in 60 kg sacks. 10 kg of peat covers an area of 20 \[m^{2}\] . Work out the area of the garden:480\[m^{2}\]280\[m^{2}\]580\[m^{2}\]380\[m^{2}\]200\[m^{2}\] How many sacks of peat does Gill need for the whole garden? 4682None of the Above 11. Calculate (a) \[\frac{2}{3}\] + \[\frac{5}{6}\]\[\frac{9}{6}\]\[\frac{3}{2}\]\[\frac{7}{6}\]\[\frac{5}{6}\]Both 'a' & 'b' b) \[\frac{5}{6}\] - \[\frac{3}{4}\]\[\frac{1}{12}\]\[\frac{5}{12}\]\[\frac{2}{12}\]\[\frac{3}{12}\]\[\frac{9}{12}\] c) What fraction in the diagram below is shaded? \[\frac{1}{4}\]\[\frac{3}{4}\]\[\frac{1}{3}\]\[\frac{1}{2}\]None of the Above 12. The co-ordinates of the three corners of a rectangle are: A ( 2 , 0 ) , B ( 0 , 4 ) , C ( 10 , 4 ) Plot these points on the axes above. Join A to B and A to C to give 2 sides of the rectangle. Mark corner D on your diagram. Write down the co-ordinates of DDraw all the lines of symmetry of the rectangle on your diagram.(8,8)(7,7)(9,9)(7,8)(8,9) 13. Sara starts her maths homework at 4.30 pm and she finishes it at 6.10 pm. During that time she watches 'Neighbours' for 25 minutes and she speaks to her friend Jean on the telephone for 20 minutes. How long is Sara actually working on her maths? 55minutes65minutes45minutes35minutesNone of the Above 14. How many 26p stamps can Antonia buy for £10 and how much change will she receive?38stamps & 12p change35stamps & 8p change48stamps & 14p change28stamps & 20p change45stamps & 16p change 15. i) What was the rainfall on Tuesday ?5mm7mm4mm8mm6mm ii) How much more rain was there on Monday than Sunday ?2mm5mm3mm6mm4mm iii) Find the total rainfall for the week ?33mm39mm43mm23mmNone of the Above iv) What is the average daily rainfall ?4.71mm2.91mm3.80mm5.91mm6.20mm 16. Pauline has 90p that she wants to share between 7 girls and 4 boys so that the girls each have twice as much as the boys. How much does each girl and each boy receive? Girl: Boy:Girl 10p, Boy 5pGirl 20p, Boy 10pGirl 5p, Boy 10pGirl 12p, Boy 6pGirl 16p, Boy 8p 17. This pie chart represents the favourite takeaway foods of 180 students. (a) Which takeaway food was the favourite of 4 of these students? IndianThaiPizzaChineseNone of the Above (b) What fraction of these students chose Chinese?\[\frac{1}{3}\]\[\frac{1}{4}\]\[\frac{1}{2}\]\[\frac{2}{3}\]\[\frac{3}{4}\] (c) Work out the size of the angle for Thai.5070608045 (d) How many of the 180 students chose Pizza?50 Students45 Students60 Students55 Students70 Students 18. To encourage her to tidy her bedroom, Cathy is given 1 p on the first day, 2p on the second day, 4p on the third day and so on, doubling the amount each day. How much has she been given after 8 days? 255235220245155 19. The total of the opposite faces on a dice is always 7. Jack places three dice on a table as shown in the diagram. What is the total score of the faces that Jack cannot see? 1718201013 20. Calculate the perimeter of this shape stating your units very carefully 7.4m6.4m7.25m7m5.4m 21. Jack dances clockwise around the Maypole, making one revolution every five seconds. Starting from a point diametrically opposite Jack's starting point. Gill dances anticlockwise, making one revolution every six seconds. How many times do they pass each other in the first minute? 2210122030 Time is Up!